Answer
Yes, the points lie on the same line.
Work Step by Step
Use the slope formula $\frac{y_{1}-y_{2}}{x_{1}-x_{2}}$ to find the slope between each pair of points.
$GH=\frac{(-2)-(-5)}{1-(-1)}=\frac{3}{2}$
$HI=\frac{(-5)-(4)}{(-1)-(5)}=\frac{-9}{-6}=\frac{3}{2}$
As both of them have the same slope of $\frac{3}{2}$, the points lie on the same line.
